A heterotic Kodaira-Spencer theory at one-loop

Anthony Ashmore, Javier José Murgas Ibarra, David Duncan McNutt, Charles Strickland-Constable, Eirik Eik Svanes, David Tennyson, Sander Winje

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We consider a heterotic version of six-dimensional Kodaira-Spencer gravity derived from the heterotic superpotential. We compute the one-loop partition function and find it can be expressed as a product of holomorphic Ray-Singer torsions. We discuss its topological properties and potential gauge and gravitational anomalies. We show these anomalies can be cancelled using Green-Schwarz-like counter-terms. We also discuss the dependence on the background geometry, and in particular the choice of hermitian metric needed for quantisation. Given suitable topological constraints, this dependence may again be cancelled by the addition of purely background-dependent counter-terms. We also explain how our methods provide the one-loop partition functions of a large class of more general holomorphic field theories in terms of holomorphic Ray-Singer torsions.

Original languageEnglish
Article number130
Number of pages52
JournalJournal of High Energy Physics (JHEP)
Issue number10
Early online date23 Oct 2023
Publication statusPublished - 23 Oct 2023


  • Anomalies in Field and String Theories
  • Superstring Vacua
  • Superstrings and Heterotic Strings
  • Topological Field Theories


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